112735013 has 2 divisors, whose sum is σ = 112735014. Its totient is φ = 112735012.

The previous prime is 112734997. The next prime is 112735019. The reversal of 112735013 is 310537211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84676804 + 28058209 = 9202^2 + 5297^2 .

It is an emirp because it is prime and its reverse (310537211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112735013 - 2⁴ = 112734997 is a prime.

It is a super-2 number, since 2×112735013² = 25418366312220338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112735013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112735019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56367506 + 56367507.

It is an arithmetic number, because the mean of its divisors is an integer number (56367507).

Almost surely, 2^112735013 is an apocalyptic number.

It is an amenable number.

112735013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112735013 is an equidigital number, since it uses as much as digits as its factorization.

112735013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 112735013 is about 10617.6745570770. The cubic root of 112735013 is about 483.0806104357.

The spelling of 112735013 in words is "one hundred twelve million, seven hundred thirty-five thousand, thirteen".